Question

Identify any congruent figures in the coordinate plane. explain.

Answer 1

Congruent figures are:

Rectangle IJGH and rectangle QRPN

Triangle EDF and triangle BAC

Triangle LKP and triangle TSU

Solution:

To identify the congruent figures in the given figures:

Two polygons are congruent if they have the same size and same shape.

(1) Rectangle IJGH and rectangle QRPN are same shape.

IH ≅ QP

IJ ≅ QR

JG ≅ RN

HG ≅ PN

Therefore rectangle IJGH and rectangle QRPN are congruent figures.

(2) Triangle EDF and triangle BAC

ED ≅ BA

DF ≅ AC

EF ≅ BC

Therefore triangle EDF and triangle BAC are congruent figures.

(3) Triangle LKP and triangle TSU

LK ≅ TS

KP ≅ SU

LM ≅ TU

Therefore triangle LKP and triangle TSU are congruent figures.